Factorising without powers

Selection of questions on substituting values into simple expressions

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Single term expressions various degrees of difficulty simplifying

Simplifying single term expressions involving indices.

Simplifying single term expressions involving more than one letter.

Simplifying coefficients and establishing the standardized order of writing expressions.

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Write expressions for the moment of inertia of simple shapes about various axes.

Simplifying first is essential in terms of managing expressions that might need factorising.

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Simplifying first is essential in terms of managing expressions that might need factorising.

Adding algebraic fractions with linear expressions in the numerators

Using indices rules to write powers as negative powers

Using indices rules to write expressions as negative powers.

Using rules for roots and powers to write expressions with only powers

Simplifying expressions from $(z^m)^n$ to $z^{mn}$. 

Simplifying expressions from $y^m\div y^n$ to $y^{m-n}$. 

Simplifying expressions from $x^mx^n$ to $x^{m+n}$. 

Simplifying expressions from $(8^m)^n$ to $8^{mn}$. 

Simplifying expressions from $3^m\div 3^n$ to $5^{m-n}$ where $n$ can be bigger then $m$.

Simplifying expressions from $5^m\div 5^n$ to $5^{m-n}$. 

Simplifying expressions from $2^m2^n$ to $2^{m+n}$. 

Simplifying algebraic expressions

Determine expressions for internal shear and bending moment as a function of $x$ for a beam with two vertical loads.